# 2008/04/03 (JS), updated on 2010/10/01 (AK)
gap> g:=Group( (1,33)(2,12)(3,96)(4,37)(5,95)(6,11)(7,51)(8,42)(9,32)(10,80)
> (13,17)(14,59)(15,62)(16,85)(18,22)(19,29)(20,24)(21,90)(23,72)(25,26)
> (27,30)(28,70)(31,92)(34,100)(35,75)(36,82)(38,86)(39,77)(40,46)(41,44)
> (43,61)(45,52)(47,78)(48,88)(49,57)(50,55)(53,97)(54,67)(56,91)(58,81)
> (60,93)(63,71)(64,73)(65,89)(66,79)(68,98)(69,83)(74,87)(76,99)(84,94), 
> (1,10)(2,7,52,98)(3,68,75,12)(4,51,49,27)(5,18,29,91)(6,41,54,72)
> (8,78,25,99)(9,95,67,55)(11,86,39,38)(13,17)(14,61,82,79)(15,97,28,46)
> (16,56,74,83)(20,94,90,47)(21,65,66,58)(22,50,87,71)(23,93,31,85)(24,53)
> (26,76,36,73)(30,37,44,69)(32,34)(33,70)(40,43)(42,88,64,80)(45,60,92,57)
> (48,81)(59,62,84,89)(77,96) );;
gap> c:=ConjugacyClassesMaximalSubgroups( g );;
gap> Collected(List(c,x->[Size(Representative(x)),Size(x)]));
[ [ [ 120, 336 ], 1 ], [ [ 144, 280 ], 1 ], [ [ 336, 120 ], 3 ], 
  [ [ 384, 105 ], 1 ], [ [ 720, 56 ], 3 ], [ [ 20160, 1 ], 1 ] ]
